Answer:
The value of x=9 and value of y= -7
Step-by-step explanation:
We need to solve the matrix equation for x and y
We are given:
![\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +2\left[\begin{array}{cc}5&-1\\y&6\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-2x%266%5C%5C1%26-8%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%2B2%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%26-1%5C%5Cy%266%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-8%264%5C%5C-13%26-13%5C%5C%5Cend%7Barray%7D%5Cright%5D)
First multiply 2 with terms inside the matrix
![\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +\left[\begin{array}{cc}10&-2\\2y&12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-2x%266%5C%5C1%26-8%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D10%26-2%5C%5C2y%2612%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-8%264%5C%5C-13%26-13%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Now adding matrices on left side
![\left[\begin{array}{cc}-2x+10&6-2\\1+2y&-8+12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]\\\left[\begin{array}{cc}-2x+10&4\\1+2y&4\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-2x%2B10%266-2%5C%5C1%2B2y%26-8%2B12%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-8%264%5C%5C-13%26-13%5C%5C%5Cend%7Barray%7D%5Cright%5D%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-2x%2B10%264%5C%5C1%2B2y%264%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-8%264%5C%5C-13%26-13%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Now both sides are equal , so we can say that
Solving equations and finding values of x and y
Finding value of x
Finding value of y
So, value of x=9 and value of y= -7
Answer:
y=23
x=28
Step-by-step explanation:
3y=2x+13
8y-4=180
basic algebra, solve 2nd equation then substitute
Answer:
3x+15
Step-by-step explanation:
3(x+1)+12=3x+15
3x+3+12
Answer:
<u>The retail price of the car is US$ 10,024 Rounding to the next whole</u>
Step-by-step explanation:
1. Let's check the information given to us to answer the question correctly:
Mark up the purchase price = 17.4%
Price of purchase of the car = $ 8,538
2. What is the retail price of the car at this dealership?
For calculating the retail price of the car, we will use the Rule of Three Simple, this way:
x = retail price of the car
x * 1 = 8,538 * 1.174
x = 10,023.61
<u>The retail price of the car is US$ 10,024 Rounding to the next whole</u>
Answer:
B or the second option
Step-by-step explanation:
We can label the diagram parts A-E to fully represent the situation in the question.
A: Julie's ascent up the mountain (moving/increasing)
B: Julie drinking hot chocolate (stationary/constant)
C: Julie's descent down the mountain (moving/decreasing)
D: Julie rests (stationary/constant)
E: Julie's final descent down the mountain (moving/decreasing)
